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Finding the Fourth Proportional to 1,549.92, 2,321.75 and 767.57

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Solution

The fourth proportional to 1,549.92, 2,321.75 and 767.57 is: 1,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.92 : 2,321.75 = 767.57 : x
  2. Step 2: Convert to fraction form
    1,549.92/2,321.75 = 767.57/x
  3. Step 3: Cross multiply
    1,549.92x = 2,321.75 × 767.57
  4. Step 4: Simplify right side
    1,549.92x = 1,782,096.01
  5. Step 5: Solve for x
    x = 1,782,096.01/1,549.92
  6. Step 6: Final answer
    x = 1,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.